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Mathematics

1 answer:

vitfil [10]4 years ago

8 0

Answer:a

Step-by-step explanation:

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Which polynomial expression represents a sum of cubes? (6 – s)(s2 + 6s + 36) (6 + s)(s2 – 6s – 36) (6 + s)(s2 – 6s + 36) (6 + s)

Nadusha1986 [10]

Answer:

Option 3 is correct that is $(6+s)(s^2-6s+36)$

Step-by-step explanation:

We have general formula for sum of cube which is

$a^3+b^3=(a+b)(a^2+b^2-ab)$

Here, we have a=s and b=6

on substituting the values in the formula we will get

$6^3+s^3=(6+s)(s^2+6^2-6s)$

After simplification we will get

$6^3+s^3=(6+s)(s^2+36-6s)$

After rearranging the terms we will get

$6^3+s^3=(6+s)(s^2-6s+36)$ which exactly matches option 3 in the given options.

Therefore, option 3 is correct that is $(6+s)(s^2-6s+36)$

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4 years ago

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Use factoring to solve <br> x^2-2x-35=0

mrs_skeptik [129]

Answer:

I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good

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3 years ago

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Need help to prove someone wrong

mafiozo [28]

Answer:

the picture is not showing anything.

Step-by-step explanation:

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3 years ago

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What is the sum of the infinite geometric series?<br><br> 120 + 20+ 10/3 + 5/9+...

Sergeu [11.5K]

Answer:

for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

$\frac{a_{1} }{1 - r}$ = $\frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } =$ $\frac{120 \times 6}{5}$ = 144.

Step-by-step explanation:

i) from the given series we can see that the first term is $a_{1 }$ = 120.

ii) let the common ratio be r.

iii) the second term is 20 = 120 × r

therefore r = 20 ÷ 120 = $\dfrac{1}{6}$

iv) the third term is $\frac{10}{3}$ = 20 × r

therefore r = $\dfrac{10}{3}$ ÷ 20 = $\dfrac{1}{6}$

v) for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

$\frac{a_{1} }{1 - r}$ = $\frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } =$ $\frac{120 \times 6}{5}$ = 144.

6 0

3 years ago

Can someone help I am really confused 15 points + brainliest

maksim [4K]

Answer:

Step-by-step explanation:

you can easly understand the question by read the question again and again.

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3 years ago